Answer:
m∠STU = 20 °
Step-by-step explanation:
Since the line bisects the angle, we have that the two bisected angles are equal
Thus, mathematically;
x + 2 = x/4 + 8
Multiply through by 4
4x + 8 = x + 32
4x-x = 32-8
3x = 24
x = 24/3
x = 8
So to find the value of the original angle, we input 8 into each of the bisected angles and add together
mathematically, that will be ;
10 + 10 = 20
x-0.1x=36
where x is the original price
0.1x is the discount (10% of the original price)
36 is the price paid
x-0.1x=36
0.9x=36
----- ----
0.9 0.9
x=40
The original price is $40.00
Answer:
the slope
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
![a_{13}=38](https://tex.z-dn.net/?f=a_%7B13%7D%3D38)